Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112cf |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-493807104 = -1 · 29 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,-6482] |
[a1,a2,a3,a4,a6] |
j |
-1668296/27 |
j-invariant |
L |
3.7769986702574 |
L(r)(E,1)/r! |
Ω |
0.47212483378217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14112ce1 28224gf1 4704o1 14112bs1 |
Quadratic twists by: -4 8 -3 -7 |